Question

(3/4) elevado a n = 64/27

Answer 1

(3/4)^2x = 64/27

64 = 4x4x4=4^3

27 = 3x3x3=3^3

(3/4)^2x = (4/3)^3

2x = -3

 x = -3/2

∴ x = -3/2

Answer 2

Resposta:

n = - 3

Explicação passo-a-passo:

${( \frac{3}{4}) }^{n} = \frac{64}{27} \: \: \: \: \\ {( \frac{3}{4}) }^{n} = \frac{ {4}^{3} }{ {3}^{3} } \: \: \: \: \\ {( \frac{3}{4}) }^{n} = {(\frac{4}{3})}^{3} \: \\ {( \frac{3}{4}) }^{n} ={(\frac{3}{4})}^{ - 3} \\ n = - 3 \: \: \: \: \: \: \:$

Espero ter ajudado você!